Answer:
second option
Step-by-step explanation:
Given
a(c + b) = d ← distribute parenthesis on left side
ac + ab = d ( subtract ab from both sides )
ac = d - ab ( isolate c by dividing both sides by a )
c = 
The right answer is b
Step-by-step explanation:
You do you do the calculations you get that answer
he volume of the solid under a surface
z
=
f
(
x
,
y
)
and above a region D is given by the formula
∫
∫
D
f
(
x
,
y
)
d
A
.
Here
f
(
x
,
y
)
=
6
x
y
. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the
x
y
−
plane. The bounding equations of the triangle are found using the point-slope formula as
x
=
1
,
y
=
1
and
y
=
−
x
3
+
7
3
.
Here is a sketch of the triangle:
Intersecting Region
The inequalities that describe D are given by the sketch as:
1
≤
x
≤
4
and
1
≤
y
≤
−
x
3
+
7
3
.
Therefore, volume is
V
=
∫
4
1
∫
−
x
3
+
7
3
1
6
x
y
d
y
d
x
=
∫
4
1
6
x
[
y
2
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
y
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
49
9
−
14
x
9
+
x
2
9
−
1
]
d
x
=
3
∫
4
1
40
x
9
−
14
x
2
9
+
x
3
9
d
x
=
3
[
40
x
2
18
−
14
x
3
27
+
x
4
36
]
4
1
=
3
[
(
640
18
−
896
27
+
256
36
)
−
(
40
18
−
14
27
+
1
36
)
]
=
23.25
.
Volume is
23.25
.
Answer:
3/4
Step-by-step explanation:
If +15 is also a a part of the power of 216 there will be no solution:
216^(-1.5t)=1-15
216^(-1.5t)=-14
-1.5t= 216 base log -14 as log with negative value(-14 in this problem) has no solution so,
I guess it is 216^(-1.5t+15)=1 right?
216^-1.5t+15=1
-1.5t+15=216 base log 1
-1.5t+15=0(Any log with value 1 of anybase has no value which is peopwely 0)
-1.5t=-15
t=15/1.5
t=10
